Intrinsic Approach to Galois Theory of $q$-Difference Equations

Intrinsic Approach to Galois Theory of $q$-Difference Equations PDF Author: Lucia Di Vizio
Publisher: American Mathematical Society
ISBN: 1470453843
Category : Mathematics
Languages : en
Pages : 88

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Intrinsic Approach to Galois Theory of $q$-Difference Equations

Intrinsic Approach to Galois Theory of $q$-Difference Equations PDF Author: Lucia Di Vizio
Publisher: American Mathematical Society
ISBN: 1470453843
Category : Mathematics
Languages : en
Pages : 88

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A Probabilistic Approach to Classical Solutions of the Master Equation for Large Population Equilibria

A Probabilistic Approach to Classical Solutions of the Master Equation for Large Population Equilibria PDF Author: Jean-François Chassagneux
Publisher: American Mathematical Society
ISBN: 1470453754
Category : Mathematics
Languages : en
Pages : 136

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Symbolic Extensions of Amenable Group Actions and the Comparison Property

Symbolic Extensions of Amenable Group Actions and the Comparison Property PDF Author: Tomasz Downarowicz
Publisher: American Mathematical Society
ISBN: 1470455870
Category : Mathematics
Languages : en
Pages : 108

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Higher Ramanujan Equations and Periods of Abelian Varieties

Higher Ramanujan Equations and Periods of Abelian Varieties PDF Author: Tiago J. Fonseca
Publisher: American Mathematical Society
ISBN: 147046019X
Category : Mathematics
Languages : en
Pages : 158

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Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations

Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations PDF Author: Henri Berestycki
Publisher: American Mathematical Society
ISBN: 1470454297
Category : Mathematics
Languages : en
Pages : 282

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Categories and Representation Theory

Categories and Representation Theory PDF Author: Hideto Asashiba
Publisher: American Mathematical Society
ISBN: 1470464845
Category : Mathematics
Languages : en
Pages : 282

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Book Description
This book gives a self-contained account of applications of category theory to the theory of representations of algebras. Its main focus is on 2-categorical techniques, including 2-categorical covering theory. The book has few prerequisites beyond linear algebra and elementary ring theory, but familiarity with the basics of representations of quivers and of category theory will be helpful. In addition to providing an introduction to category theory, the book develops useful tools such as quivers, adjoints, string diagrams, and tensor products over a small category; gives an exposition of new advances such as a 2-categorical generalization of Cohen-Montgomery duality in pseudo-actions of a group; and develops the moderation level of categories, first proposed by Levy, to avoid the set theoretic paradox in category theory. The book is accessible to advanced undergraduate and graduate students who would like to study the representation theory of algebras, and it contains many exercises. It can be used as the textbook for an introductory course on the category theoretic approach with an emphasis on 2-categories, and as a reference for researchers in algebra interested in derived equivalences and covering theory.

Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals

Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals PDF Author: Guozhen Lu
Publisher: American Mathematical Society
ISBN: 1470455374
Category : Mathematics
Languages : en
Pages : 100

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The Second Moment Theory of Families of $L$-Functions–The Case of Twisted Hecke $L$-Functions

The Second Moment Theory of Families of $L$-Functions–The Case of Twisted Hecke $L$-Functions PDF Author: Valentin Blomer
Publisher: American Mathematical Society
ISBN: 1470456788
Category : Mathematics
Languages : en
Pages : 160

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Affine Hecke Algebras and Quantum Symmetric Pairs

Affine Hecke Algebras and Quantum Symmetric Pairs PDF Author: Zhaobing Fan
Publisher: American Mathematical Society
ISBN: 1470456265
Category : Mathematics
Languages : en
Pages : 108

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Planar Algebras in Braided Tensor Categories

Planar Algebras in Braided Tensor Categories PDF Author: André Gil Henriques
Publisher: American Mathematical Society
ISBN: 1470455404
Category : Mathematics
Languages : en
Pages : 100

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